MAP 2302 Midterm: MAP 2302 FIU Exam 314k

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15 Feb 2019
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S hudson: [15pts] begin using the method of frobenius to nd two li solutions to x2y xy (x2 + 5. 4 )y = 0 on some interval 0 < x < r. but you do not have to nd the yj. You can stop after nding the root(s) of the indicial equation. Show your work, including several series as usual, and the formula relating ck to other coe cients and/or variables: [20 pts] true-false. The de (x 1)y + xy + y x = 0 has exactly two singular points. The de x2(x 2)2y + 2(x 2)y + (x + 1)y = 0 has two irregular singular points. The function et2 has exponential order. from its natural position: [15 pts] a 32-lb weight stretches a hanging spring 2 ft. The weight is then pulled down another 6in and released at time t = 0.

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